8455716864 has 168 divisors, whose sum is σ = 27917287320. Its totient is φ = 2415919104.

The previous prime is 8455716817. The next prime is 8455716961. The reversal of 8455716864 is 4686175548.

8455716864 is a `hidden beast` number, since 8 + 4 + 5 + 571 + 6 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

Its product of digits (6451200) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 2 and base 8.

It is a zygodrome in base 2 and base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 8455716864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1207959549 + ... + 1207959555.

Almost surely, 2^8455716864 is an apocalyptic number.

8455716864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8455716864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13958643660).

8455716864 is an abundant number, since it is smaller than the sum of its proper divisors (19461570456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8455716864 is an frugal number, since it uses more digits than its factorization.

8455716864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 12 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The square root of 8455716864 is about 91954.9719373564. The cubic root of 8455716864 is about 2037.2772904430.

The spelling of 8455716864 in words is "eight billion, four hundred fifty-five million, seven hundred sixteen thousand, eight hundred sixty-four".